irreducibility
Resists further breakdown
Irreducibility is the quality of being impossible to simplify, break down, or reduce further.
In philosophy, certain phenomena have irreducibility—consciousness, for instance, resists reduction to mere brain chemistry.
In mathematics, an irreducible polynomial cannot be factored into simpler polynomials.
The irreducibility of the problem meant we had to accept its full complexity.
Readying for action
- indivisibleUnable to be divided
- axiomSelf-evident starting principle
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
polynomial · monomial · incompleteness · undecidable · primitive · atomic · minimal · basis
Forming the base
- elementalBasic, of natural forces
- basicFundamental in nature
- intrinsicBelonging by nature
- indivisibleUnable to be divided
essential · primary · immutable · inseparable · integral · constitutive · underlying · quintessential
Fundamental nature of something
- fundamentalForming the base
- ontologyStudy of existence's nature
- metaphysicsPhilosophy of existence's nature
- atomismDiscrete particles compose everything
monism · holism · emergence · qualia · phenomenology · substance · explanatory · grounding
Coming into existence
- interconnectionMutual joining of parts
- systemConnected parts forming whole
- interdependenceReciprocal reliance between entities
- holismWholes trump components
gestalt · synergy · nonlinear · feedback · self-organization · whole · integration · network
prime
Readying for action
- indivisibleUnable to be divided
- axiomSelf-evident starting principle
- theoremDemonstrated logical conclusion
proof · polynomial · monomial · incompleteness · undecidable · primitive · atomic · minimal · basis · invariant
fundamental
Forming the base
indivisible · essential · primary · immutable · inseparable · integral · constitutive · underlying · quintessential · pure
essence
Fundamental nature of something
- fundamentalForming the base
- ontologyStudy of existence's nature
- metaphysicsPhilosophy of existence's nature
atomism · monism · holism · emergence · qualia · phenomenology · substance · explanatory · grounding · simples
emergence
Coming into existence
- interconnectionMutual joining of parts
- systemConnected parts forming whole
- interdependenceReciprocal reliance between entities
holism · gestalt · synergy · nonlinear · feedback · self-organization · whole · integration · network · organism
- stochastic processesrandom variable, random variables, martingale, white noise, reversibility
- polynomialspolynomial, polynomials, binomial, monomial, binomials
- emergenceemergence, appearing, surfacing, self-organization, arising
irreducibilityreducibility
Capacity for simplification
divisibility · compositeness · complexity · modularity · derivability
irreducibilityreducibility
Capacity for simplification
explicability · derivability · tractability · reductionism · reductiveness
reduce, reduced, reduction, introduction, reducing, introducing, redouble, redoubt, reductions